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A009977 Powers of 33. 4

%I

%S 1,33,1089,35937,1185921,39135393,1291467969,42618442977,

%T 1406408618241,46411484401953,1531578985264449,50542106513726817,

%U 1667889514952984961,55040353993448503713,1816331681783800622529

%N Powers of 33.

%C The compositions of n in which each natural number is colored by one of p different colors are called p-colored compositions of n. For n >= 1, a(n) equals the number of 33-colored compositions of n such that no adjacent parts have the same color. - _Milan Janjic_, Nov 17 2011

%H T. D. Noe, <a href="/A009977/b009977.txt">Table of n, a(n) for n=0..100</a>

%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>

%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (33).

%F G.f.: 1/(1-33*x). - _Philippe Deléham_, Nov 24 2008

%F a(n) = 33^n; a(n) = 33*a(n-1), n > 0; a(0)=1. - _Vincenzo Librandi_, Nov 21 2010

%o (MAGMA) [33^n: n in [0..100]] // _Vincenzo Librandi_, Nov 21 2010

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_

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Last modified November 11 15:46 EST 2019. Contains 329018 sequences. (Running on oeis4.)